DeFranza, James; Fleming, Daniel J. The Banach algebra of conservative triangular matrices. (English) Zbl 0469.40001 Math. Z. 180, 463-468 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 1 Document MSC: 40C05 Matrix methods for summability 40G99 Special methods of summability 40H05 Functional analytic methods in summability Keywords:type M; maximal group; triangular summability method PDFBibTeX XMLCite \textit{J. DeFranza} and \textit{D. J. Fleming}, Math. Z. 180, 463--468 (1982; Zbl 0469.40001) Full Text: DOI EuDML References: [1] Agnew, R.P.: Equivalence of Methods for Evaluation of Sequences. Proc. Amer. Math. Soc.3, 550-556 (1952) · Zbl 0047.06502 · doi:10.1090/S0002-9939-1952-0048600-5 [2] Berg, I.D.: A Banach Algebra Criterion for Tauberian Theorems. Proc. Amer. Math. Soc.15, 648-652 (1964) · Zbl 0131.05701 · doi:10.1090/S0002-9939-1964-0165285-6 [3] Berg, I.D.: Open Sets of Conservative Matrices. Proc. Amer. Math. Soc.16, 719-724 (1965) · Zbl 0139.08304 · doi:10.1090/S0002-9939-1965-0179514-7 [4] Copping, J.: Mercerian Theorems and Inverse Transformations. Studia Math.21, 177-194 (1962) · Zbl 0121.05604 [5] Hogan, D.A., Kelly, E.P., Jr.: Bounded, Conservative, Linear Operators, and the Maximal Group. Proc. Amer. Math. Soc.32, 195-200 (1972) · Zbl 0204.45501 · doi:10.1090/S0002-9939-1972-0290136-3 [6] Rhoades, B.E.: Triangular Summability Methods and the Boundary of the Maximal Group. Math. Z.105, 284-290 (1968) · Zbl 0179.08801 · doi:10.1007/BF01125969 [7] Sharma N.K.: Spectra of Conservative Matrices. Proc. Amer. Math. Soc.35, 515-518 (1972) · Zbl 0261.40002 · doi:10.1090/S0002-9939-1972-0306769-1 [8] Whitley, R.: Conull and Other Matrices which Sum a Bounded Divergent Sequence. Math. Monthly74, 798-801 (1967) · Zbl 0182.46401 · doi:10.2307/2315795 [9] Wilansky, A.: Topological Divisors of Zero and Tauberian Theorems. Trans. Amer. Math. Soc.113, 240-251 (1964) · Zbl 0182.46302 · doi:10.1090/S0002-9947-1964-0168967-X [10] Wilansky, A., Zeller, K.: Banach Algebra and Summability. Illinois J. Math.2, 378-385 (1958) · Zbl 0082.27302 [11] Yood, B.: Transformations Between Banach Spaces in the Uniform Topology. Ann. of Math. (2)50, 486-503 (1949) · Zbl 0034.06401 · doi:10.2307/1969464 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.